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Finding the Fourth Proportional to 7,065.09, 9,752.22 and 4,082.13

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Solution

The fourth proportional to 7,065.09, 9,752.22 and 4,082.13 is: 5,634.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.09 : 9,752.22 = 4,082.13 : x
  2. Step 2: Convert to fraction form
    7,065.09/9,752.22 = 4,082.13/x
  3. Step 3: Cross multiply
    7,065.09x = 9,752.22 × 4,082.13
  4. Step 4: Simplify right side
    7,065.09x = 39,809,829.83
  5. Step 5: Solve for x
    x = 39,809,829.83/7,065.09
  6. Step 6: Final answer
    x = 5,634.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.